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Memorias de investigación
Research Publications in journals:
The Szego matrix recurrence and its associated linear non-autonomous area-preserving map
Year:2012
Research Areas
  • Mathematics
Information
Abstract
A change to the Szeg ?o matrix recurrence relation, satisfied by orthonormal polynomials on the unit circle, gives rise to a linear map by the action of matrices belonging to the group SU (1; 1). The companion factorization of such matrices, via 2nd -order linear homogeneous difference equations, provides a compact representation of the orthogonal polynomial on the circle. Moreover, an isomorphism SU(1;1)?SL(2;R) enables the introduction of a linear non-autonomous area-preserving map. This dynamical system has counterparts in those from the complex Szego recurrence relation, and some basic results are outlined.
International
Si
JCR
Si
Title
Electronic Journal of Linear Algebra
ISBN
1081-3810
Impact factor JCR
0,808
Impact info
Volume
24
Journal number
From page
168
To page
180
Month
SIN MES
Ranking
Participants
  • Autor: Jesus Carmelo Abderraman Marrero (UPM)
  • Autor: M. Rachidi
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Polinomios Ortogonales y Geometría Fractal
S2i 2019 Observatorio de investigación @ UPM con la colaboración del Consejo Social UPM
Cofinanciación del MINECO en el marco del Programa INNCIDE 2011 (OTR-2011-0236)
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